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Let z=1+ai be a complex number, a > 0,s...

Let `z=1+ai` be a complex number, `a > 0`,such that `z^3` is a real number. Then the sum `1+z+z^2+...+ z^11` is equal to:

A

1365 `sqrt(3)i`

B

`-1365 sqrt(3) i`

C

`-1250 sqrt(3)i`

D

1250 `sqrt(3)i`

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The correct Answer is:
B
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